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Read carefully (espcially, a and alpha) and I have have a question about 28 only ....

Read carefully (espcially, a and alpha) and I have have a question about 28 only .

28. Obtain an expression for S_{a} the estimated standard deviation of the intercept of the least squares line. Then use the fact t = (a-\alpha) / S_{a} has a t distribution with n -2 df to test Ho : \alpha = 0 for the data in Exercise 27 (this null hypothesis says that the population regression line passes through the origin). Hint: When x = 0, \hat{y} = a+b(0)=a , and we have a general expression for S_{\hat{y}} .

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0 2 42.7 1.20 SUMMARY OUTPUT Regression equation: 3 402 1.16 n Statistics y 0.1756+0.0015x 0.9777 0.9560 0.9523 0.0420 4 38.2 1.07 Multiple R R Square Adjusted R Square Standard Error 5 37.6 1.13 6 32.2 0.96 7 32.2 1.07 8 28.0 0.8 9 27.2 0.87 10 26.6 0.7 11 23.0 0.74 12 22.70.76 13 2180.69 14 213 0.72 15 20.2 0.64 16 17 18 19 ANOVA Reject the null hypothesis:H0:8-0. SS MS 1 0.4602 0.4602 260.4771 1.67796E-09 12 0.0212 0.0018 13 0.4814 Total Reject the null hypothesis:HO:B1-0. Coefficients Std ErrortStatP-value 95% 0745 0.0213 0596 0.2767 0.0279 Intercept 0.1756 0.0464 3.7841 0.0026 0.0246 0.0015 16.1393 1.7E-09

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